47/44: Difference between revisions

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Created page with "{{Infobox interval}} 47/44 is a 47-limit (2.11.47 subgroup) interval of about 114 cents. Treating this as a comma to be tempered in the 2.11.47 subgroup gives the following r..."
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BudjarnLambeth (talk | contribs)
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{{Infobox interval}}
{{Infobox interval
| Comma=yes}}


47/44 is a 47-limit (2.11.47 subgroup) interval of about 114 cents. Treating this as a comma to be tempered in the 2.11.47 subgroup gives the following rank-2 temperament:
'''47/44''' is a [[47-limit]] (2.11.47 [[subgroup]]) interval of about 114 [[cents]]. Treating this as a [[comma]] to be [[tempered]] in the 2.11.47 subgroup gives the following [[rank-2]] temperament:


Equal Temperament Mappings
Equal Temperament [[Mapping]]s
{| class="wikitable"
{| class="wikitable"
!
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TE Generator Tunings (cents)
[[TE]] Generator Tunings (cents)


⟨1204.8777, 639.0056]
⟨1204.8777, 639.0056]

Revision as of 23:54, 7 March 2025

Interval information
Ratio 47/44
Subgroup monzo 2.11.47 [-2 -1 1
Size in cents 114.1887¢
Name(s) missing ? 
FJS name [math]\displaystyle{ \text{M2}^{47}_{11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 11.014
Weil norm (log2 max(n, d)) 11.1092
Wilson norm (sopfr(nd)) 62
Comma size large
Open this interval in xen-calc

47/44 is a 47-limit (2.11.47 subgroup) interval of about 114 cents. Treating this as a comma to be tempered in the 2.11.47 subgroup gives the following rank-2 temperament:

Equal Temperament Mappings

2 11 47
[ ⟨ 2 7 11 ]
1 3 5 ] ⟩


Reduced Mapping

2 11 47
[ ⟨ 1 4 6 ]
0 -1 -1 ] ⟩


TE Generator Tunings (cents)

⟨1204.8777, 639.0056]


TE Step Tunings (cents)

⟨565.87206, 73.13354]


TE Tuning Map (cents)

⟨1204.878, 4180.505, 6590.260]


TE Mistunings (cents)

⟨4.878, 29.187, -75.246]